A spectral radius type formula for approximation numbers of composition operators

For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol φ of uniform norm <1, we prove that limn→∞⁡[an(Cφ)]1/n=e−1/Cap[φ(D)], where Cap[φ(D)] is the Green capacity of φ(D) in D. This formula ho...

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Autores: Li, Daniel, Queffélec, Hervé, Rodríguez Piazza, Luis
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/46342
Acceso en línea:http://hdl.handle.net/11441/46342
https://doi.org/10.1016/j.jfa.2014.09.008
Access Level:acceso abierto
Palabra clave:Approximation numbers
Bergman space
Composition operator
Dirichlet space
Green capacity
Hardy space
Weighted analytic Hilbert space
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spelling A spectral radius type formula for approximation numbers of composition operatorsLi, DanielQueffélec, HervéRodríguez Piazza, LuisApproximation numbersBergman spaceComposition operatorDirichlet spaceGreen capacityHardy spaceWeighted analytic Hilbert spaceFor approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol φ of uniform norm <1, we prove that limn→∞⁡[an(Cφ)]1/n=e−1/Cap[φ(D)], where Cap[φ(D)] is the Green capacity of φ(D) in D. This formula holds also for Hp with 1≤p<∞.Ministerio de Economía y CompetitividadElsevierAnálisis MatemáticoFQM104: Analisis MatemáticoMinisterio de Economía y Competitividad (MINECO). España2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/46342https://doi.org/10.1016/j.jfa.2014.09.008reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Functional Analysis, 267 (12), 4753-4774.info:eu-repo/grantAgreement/MINECO/MTM2012-05622/http://ac.els-cdn.com/S0022123614003681/1-s2.0-S0022123614003681-main.pdf?_tid=8dac2066-862b-11e6-ba07-00000aab0f02&acdnat=1475143410_dca48b06242fd75b34beae21efbb7cfbinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/463422026-06-17T12:51:07Z
dc.title.none.fl_str_mv A spectral radius type formula for approximation numbers of composition operators
title A spectral radius type formula for approximation numbers of composition operators
spellingShingle A spectral radius type formula for approximation numbers of composition operators
Li, Daniel
Approximation numbers
Bergman space
Composition operator
Dirichlet space
Green capacity
Hardy space
Weighted analytic Hilbert space
title_short A spectral radius type formula for approximation numbers of composition operators
title_full A spectral radius type formula for approximation numbers of composition operators
title_fullStr A spectral radius type formula for approximation numbers of composition operators
title_full_unstemmed A spectral radius type formula for approximation numbers of composition operators
title_sort A spectral radius type formula for approximation numbers of composition operators
dc.creator.none.fl_str_mv Li, Daniel
Queffélec, Hervé
Rodríguez Piazza, Luis
author Li, Daniel
author_facet Li, Daniel
Queffélec, Hervé
Rodríguez Piazza, Luis
author_role author
author2 Queffélec, Hervé
Rodríguez Piazza, Luis
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM104: Analisis Matemático
Ministerio de Economía y Competitividad (MINECO). España
dc.subject.none.fl_str_mv Approximation numbers
Bergman space
Composition operator
Dirichlet space
Green capacity
Hardy space
Weighted analytic Hilbert space
topic Approximation numbers
Bergman space
Composition operator
Dirichlet space
Green capacity
Hardy space
Weighted analytic Hilbert space
description For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol φ of uniform norm <1, we prove that limn→∞⁡[an(Cφ)]1/n=e−1/Cap[φ(D)], where Cap[φ(D)] is the Green capacity of φ(D) in D. This formula holds also for Hp with 1≤p<∞.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/46342
https://doi.org/10.1016/j.jfa.2014.09.008
url http://hdl.handle.net/11441/46342
https://doi.org/10.1016/j.jfa.2014.09.008
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Functional Analysis, 267 (12), 4753-4774.
info:eu-repo/grantAgreement/MINECO/MTM2012-05622/
http://ac.els-cdn.com/S0022123614003681/1-s2.0-S0022123614003681-main.pdf?_tid=8dac2066-862b-11e6-ba07-00000aab0f02&acdnat=1475143410_dca48b06242fd75b34beae21efbb7cfb
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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